Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations (eBook, PDF)
Asao Arai
eBook, PDF

Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations (eBook, PDF)

Representation-theoretical Viewpoint for Quantum Phenomena

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Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation-theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emph...

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